<?xml version="1.0" encoding="UTF-8"?>
<Worksheet><Version major="6" minor="1"/><View-Properties><Zoom percentage="100"/></View-Properties><Styles><Layout alignment="left" bullet="none" name="Warning"/><Layout alignment="left" bullet="none" firstindent="0.0" leftmargin="0.0" linebreak="space" linespacing="0.0" name="Normal" rightmargin="0.0" spaceabove="0.0" spacebelow="0.0"/><Layout alignment="centred" bullet="none" linespacing="0.5" name="Maple Output"/><Font background="[0,0,0]" bold="true" executable="true" family="Monospaced" foreground="[255,0,0]" name="Maple Input" opaque="false" size="12"/><Font background="[0,0,0]" family="Monospaced" foreground="[0,0,255]" name="Warning" opaque="false" readonly="true" size="12"/><Font background="[0,0,0]" family="Times New Roman" foreground="[0,0,255]" name="2D Output" opaque="false" readonly="true" size="12"/></Styles><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">restart:<Font encoding="UTF-8">
with(RealDomain):     # \321\200\320\265\321\210\320\260\320\265\320\274 \320\262 \320\264\320\265\320\271\321\201\321\202\320\262\320\270\321\202\320\265\320\273\321\214\320\275\320\276\320\271 \320\276\320\261\320\273\320\260\321\201\321\202\320\270
_EnvExplicit := true: # \320\264\320\273\321\217 \321\202\320\276\320\263\320\276, \321\207\321\202\320\276\320\261\321\213 \321\204\321\203\320\275\320\272\321\206\320\270\321\217 solve \320\262 \320\276\321\202\320\262\320\265\321\202\320\260\321\205 \320\275\320\265 \320\270\321\201\320\277\320\276\320\273\321\214\320\267\320\276\320\262\320\260\320\273\320\260 RootOf</Font></Text-field></Input><Output><Text-field layout="Warning" style="Warning">Warning, these protected names have been redefined and unprotected: Im, Re, `^`, arccos, arccosh, arccot, arccoth, arccsc, arccsch, arcsec, arcsech, arcsin, arcsinh, arctan, arctanh, cos, cosh, cot, coth, csc, csch, eval, exp, expand, limit, ln, log, sec, sech, signum, simplify, sin, sinh, solve, sqrt, surd, tan, tanh</Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">u := (x,y,z) -&gt; x^2 + y^3 + 1/(z-1);
f := (x,y,z) -&gt; 25*x^2 + 4*y^2 + 9*z^2 - 1;
L := u(x,y,z) - lambda * f(x,y,z);
res := [solve( { diff(L, x), diff(L, y), diff(L, z), diff(L, lambda) }, {x,y,z,lambda} )];
x1 = subs( res[1], [x,y,z] ), u1 = subs( res[1], u(x,y,z) );
x2 = subs( res[2], [x,y,z] ), u2 = subs( res[2], u(x,y,z) );</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation>NiM+SSJ1RzYiZio2JUkieEdGJUkieUdGJUkiekdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCgtX0krUmVhbERvbWFpbkc2JEkqcHJvdGVjdGVkR0YzSShfc3lzbGliR0YlSSJeR0YzNiQ5JCIiIyIiIi1GMDYkOSUiIiRGOSokLCY5JkY5ISIiRjlGQUY5RiVGJUYl</Equation></Text-field><Text-field layout="Maple Output" style="2D Output"><Equation>NiM+SSJmRzYiZio2JUkieEdGJUkieUdGJUkiekdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCotX0krUmVhbERvbWFpbkc2JEkqcHJvdGVjdGVkR0YzSShfc3lzbGliR0YlSSJeR0YzNiQ5JCIiIyIjRC1GMDYkOSVGOCIiJS1GMDYkOSZGOCIiKiEiIiIiIkYlRiVGJQ==</Equation></Text-field><Text-field layout="Maple Output" style="2D Output"><Equation>NiM+SSJMRzYiLCoqJEkieEdGJSIiIyIiIiokSSJ5R0YlIiIkRioqJCwmSSJ6R0YlRiohIiJGKkYxRioqJkknbGFtYmRhR0YlRiosKkYnIiNEKiRGLEYpIiIlKiRGMEYpIiIqRjFGKkYqRjE=</Equation></Text-field></Output><Output><Text-field layout="Maple Output" style="2D Output"><Equation>NiM+SSRyZXNHNiI3JDwmL0kieUdGJSIiIS9JInhHRiVGKi9JInpHRiUjIiIiIiIkL0knbGFtYmRhR0YlIyEiJCIiKTwmRihGKy9GLiMhIiJGMS9GMyNGMSIjSw==</Equation></Text-field><Text-field layout="Maple Output" style="2D Output"><Equation>NiQvSSN4MUc2IjclIiIhRicjIiIiIiIkL0kjdTFHRiUjISIkIiIj</Equation></Text-field><Text-field layout="Maple Output" style="2D Output"><Equation>NiQvSSN4Mkc2IjclIiIhRicjISIiIiIkL0kjdTJHRiUjISIkIiIl</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Text-field/><Text-field/></Worksheet>